Algorithmic Program for Simulating Photonic Crystal Fibers Using Finite-Difference Time-Domain Method

This document introduces an algorithmic program that simulates photonic crystal fibers using the Finite-Difference Time-Domain (FDTD) method. The program incorporates Maxwell's curl equations discretization through central-difference approximations, implementing Yee's grid algorithm for staggered electromagnetic field components. It includes perfectly matched layer (PML) boundary conditions to minimize reflections and specialized dispersion modeling for photonic crystal structures. Researchers can utilize this implementation to analyze light propagation mechanisms in complex fiber geometries, with built-in post-processing functions for mode profile visualization and transmission characteristic calculations. The algorithm explanation covers field update equations using leapfrog time-stepping and material parameter assignments for refractive index distributions. Through detailed code examples demonstrating boundary initialization and field monitors, readers can adapt this framework for optical communication and photonics research applications, contributing to advancements in fiber-optic technology development.